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Finding the Third Proportional to 458,142 and 688,077

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Solution

The third proportional to 458,142 and 688,077 is: 1,033,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,142 : 688,077 = 688,077 : x
  2. Step 2: Convert to fraction form
    458,142/688,077 = 688,077/x
  3. Step 3: Cross multiply
    458,142x = 688,077 × 688,077
  4. Step 4: Simplify right side
    458,142x = 473,449,957,929
  5. Step 5: Solve for x
    x = 473,449,957,929/458,142
  6. Step 6: Final answer
    x = 1,033,413.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.